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arXiv 0909.5612hep-phcond-mat.stat-mechhep-th
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雷金场论的行波解(EPS会议录)

Traveling wave solution of the Reggeon Field Theory (EPS proceedings)

Robi Peschanski

摘要:

我们将Reggeon场论中的“超临界Pomeron”在冲击参数空间中的非线性演化方程确定为二维随机Fisher和Kolmogorov-Petrovski-Piscounov方程。它完全保持了么正性,并导致在其径向形式的高能量行波解决方案对应的弹性振幅的冲击参数前轮廓的“普遍”行为,其快速性的依赖性和形式只取决于一个参数,噪声强度,独立的初始条件和恢复么正性的非线性项。理论预测分别对应于零,弱和强噪声的三个典型的不同制度。它们对对撞机上的强子总截面和微分截面具有唯象意义。

英文摘要:

We identify the nonlinear evolution equation in impact-parameter space for the "Supercritical Pomeron" in Reggeon Field Theory as a 2-dimensional stochastic Fisher and Kolmogorov-Petrovski-Piscounov equation. It exactly preserves unitarity and leads in its radial form to an high energy traveling wave solution corresponding to an "universal" behavior of the impact-parameter front profile of the elastic amplitude; Its rapidity dependence and form depend only on one parameter, the noise strength, independently of the initial conditions and of the non-linear terms restoring unitarity. Theoretical predictions are presented for the three typical different regimes corresponding to zero, weak and strong noise, respectively. They have phenomenological implications for total and differential hadronic cross-sections at colliders.

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